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190338555648 = 28323312811237
BaseRepresentation
bin1011000101000100001…
…1111101111100000000
3200012022000120110102010
42301101003331330000
511104303132240043
6223235035452520
716515524012523
oct2612103757400
9605260513363
10190338555648
11737a417504a
1230a7bbb7140
1314c4480bab7
1492d8ccabba
154e4018e133
hex2c510fdf00

190338555648 has 288 divisors, whose sum is σ = 548039503872. Its totient is φ = 58473676800.

The previous prime is 190338555643. The next prime is 190338555707. The reversal of 190338555648 is 846555833091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190338555643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153870486 + ... + 153871722.

It is an arithmetic number, because the mean of its divisors is an integer number (1902914944).

Almost surely, 2190338555648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190338555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274019751936).

190338555648 is an abundant number, since it is smaller than the sum of its proper divisors (357700948224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190338555648 is a wasteful number, since it uses less digits than its factorization.

190338555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 190338555648 in words is "one hundred ninety billion, three hundred thirty-eight million, five hundred fifty-five thousand, six hundred forty-eight".